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Finding the Fourth Proportional to 1,186.36, 1,778.82 and 492.26

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Solution

The fourth proportional to 1,186.36, 1,778.82 and 492.26 is: 738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.36 : 1,778.82 = 492.26 : x
  2. Step 2: Convert to fraction form
    1,186.36/1,778.82 = 492.26/x
  3. Step 3: Cross multiply
    1,186.36x = 1,778.82 × 492.26
  4. Step 4: Simplify right side
    1,186.36x = 875,641.93
  5. Step 5: Solve for x
    x = 875,641.93/1,186.36
  6. Step 6: Final answer
    x = 738.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.